Introduction to Tropical Geometry and Elements of Toric Geometry
a.a. 2024/25
Academic coordinator: Stefano Urbinati
Period: second semester
Duration: 28 hours
Program:
- Definition of tropical geometry
- Basic concepts of algebraic geometry
- Introduction to tropical numbers
- Tropical monomials and affine integral geometry
- Amoebas of affine algebraic varieties and their limits
- Introduction to polyhedral geometry
- The balancing condition
- Tropical plane curves
- Tropical toric varieties
- Tropical projective space and projective hypersurfaces
- Tropical cycles, subspaces, and stable intersection
- Practical examples and applications
- Final sessions chosen by the students, including participant presentations